12 to 16 should be the only one.
i looked over ti and 9/12 is also equivalent.
if you multiple by 1.5 that gets you 9/12
The two dice have PMFs
The sum of the two rolls can take on 8 different values:
The outcome of either roll is independent of the other, so that
a. Then PMF of 
is
b. The histogram is nothing special, same as the discrete uniform distribution over the interval [0, 7].
Answer:
1
Step-by-step explanation:
Since there are no common prime factors, the only common factor for c²d² is 1, therfore it stays as is, c²d².
I am joyous to assist you anytime.
Answer:
10) f'(x) = (x² + 6x - 3)/(x + 3)²
11) g'(x) = 1 - csc²x
Step-by-step explanation:
10. f(x) = x(1 - (4/(x + 3))
Expanding gives;
f(x) = x - (4x/(x + 3))
Differentiating gives;
f'(x) = 1 - 4/(x + 3) + 4x/(x + 3)²
Simplifying this gives;
f'(x) = [(x + 3)² - 4(x + 3) + 4x]/(x + 3)²
f'(x) = (x² + 6x + 9 - 4x - 12 + 4x)/(x + 3)²
f'(x) = (x² + 6x - 3)/(x + 3)²
11. g(x) = x + cot x
Rewriting this gives;
g(x) = x + (1/tan x)
We know that derivative of tan x is sec x while derivative of (1/tan x) is -csc²x
Thus;
g'(x) = 1 - csc²x
This can be written as
Differentiating this gives;
g'(x) = 1 - csc²x
Answer: 4x is greater than or equal to 35
Step-by-step explanation:
